Prova1-31102012_Gabarito

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UFRJ
Instituto de Matemática
Disciplina: Álgebra Linear II
Professor: Anne, Bruno, Luiz Carlos, Milton, Mo-
nique e Umberto
Data: 31 de outubro de 2012
Primeira Prova
1. Seja P3 o espaço dos polinômios de grau menor ou
igual a 3. A dimensão de P3 é:
(a) 4
(b) 3
(c) 5
(d) 6
2. O sistema linear representado pela matriz aumentada
2 2 1 1
3 3 2 1
1 2 1 −1
4 5 3 0
 possui solução única.
A soma dos componentes do vetor solução é:
(a) 0
(b) 2
(c) −1
(d) 1
3. Sejam ~v e ~w tais que ~v 6= ~w e ~v 6= ~0. Assinale a
afirmativa FALSA:
(a) O conjunto {~v, ~w} é sempre linearmente in-
dependente.
(b) O conjunto de vetores {~v, ~w,~v + ~w} é sempre
linearmente dependente.
(c) O conjunto {~0} é linearmente dependente.
(d) O conjunto {~v} é sempre linearmente indepen-
dente.
4. Seja V o espaço gerado pelos vetores ~v1, ~v2, ~v3 e ~v
um elemento qualquer de V . Assinale a afirmativa
VERDADEIRA:
(a) Existe a, b, c ∈ R tal que ~v = a~v1 + b~v2 + c~v3.
(b) O conjunto {~v1, ~v2} não pode gerar V .
(c) O conjunto {~v1, ~v2, ~v3, ~v} não é um conjunto ge-
rador de V .
(d) O conjunto {~v1, ~v2, ~v3} é uma base de V .
5. Seja A =
2 1 01 1 0
1 1 1

A soma dos elementos da diagonal da matriz inversa
é:
(a) 4
(b) 5
(c) 3
(d) 2
6. Seja A uma matriz 4 × 4 tal que sua inversa é dada
por 
2 0 1 −1
0 2 5 −2
1 −1 2 −3
0 0 1 0

Então, a única solução do sistema linear Ax = b, onde
b = (0, 1,−1, 0), é dada por
(a) x = (−1,−3,−3,−1)
(b) x = (0, 0, 0, 0)
(c) x = (0, 1,−1, 0)
(d) x = (−3,−1, 0, 2)
7. Considere a transformação linear T : R3 → R5 defi-
nida por T (x, y, z) = (x,−y+ z, 2x, z, z+ y). A única
matriz A que representa essa transformação, ou seja,
tal que T (~v) = A~v, é dada por
(a)

1 0 0
0 −1 1
2 0 0
0 0 1
0 1 1
 .
(b)
 1 0 2 0 00 −1 0 0 1
0 1 0 1 1
 .
(c)

1 0 0
−1 0 0
0 1 0
0 0 0
0 0 1
 .
(d)
 1 −1 0 0 00 0 1 0 0
0 0 0 0 1
 .
8. Seja T : R2 → R2 a transformação linear definida por
T (x, y) = (2x, 3y). Pode-se afirmar que:
(a) A inversa de T existe e é dada por
T−1(x, y) = (x/2, y/3).
(b) T não possui inversa.
(c) A inversa de T existe e é dada por T−1(x, y) =
(3x, 2y).
(d) A inversa de T existe e é dada por T−1(x, y) =
(−2x,−3y).
9. Considere o seguinte sistema linear:
x1 + x2 + x3 + x4 + x5 + x6 = 33
x2 − x3 + x4 − 179x5 + 23x6 = −1
x3 + 179x4 = 6
27x4 − x5 + x6 = 0
−x5 + 20x6 = 198
−5x6 = 79.
Assinale a alternativa correta:
(a) O sistema possui solução única.
(b) O sistema não possui solução.
(c) O sistema possui infinitas soluções.
(d) O vetor nulo é solução do sistema.
Gabarito Pág. 1
10. Considere o seguinte sistema linear: x1 − 3x2 + 3x3 = 0−3x1 + 5x2 − x3 = 0
x1 − 2x2 + x3 = 0
A dimensão do conjunto solução desse sistema linear
é:
(a) 1
(b) 0
(c) 2
(d) 3
11. Seja T : R4 → R5 uma transformação linear injetiva.
Pode-se afirmar que a dimensão de ImT é igual a:
(a) 4
(b) 5
(c) 1
(d) 0
12. Seja T : R2 → R3 uma transformação linear. Sabendo
que T (2, 0) = (0, 0, 4) e T (1, 2) = (0, 0, 4) assinale a
afirmativa FALSA:
(a) T (3, 2) = (0, 0, 4).
(b) T não é sobrejetiva.
(c) T (x, y) = (0, 0, 2x+ y), para todo (x, y) ∈ R2.
(d) T não é injetiva.
13. A projeção ortogonal do vetor (1, 2) sobre a reta cuja
direção é dada pelo vetor (2, 1) é:
(a) ( 85 ,
4
5 )
(b) ( 43 ,
2
3 )
(c) (
√
5
5 ,
2
√
5
5 )
(d) ( 2
√
5
5 ,
√
5
5 )
14. Seja T uma transformação linear de Rn em Rm. As-
sinale a afirmativa Falsa:
(a) Se m > n, T pode ser sobrejetiva.
(b) Se m < n, T nunca é injetiva.
(c) Se m 6= n, T pode ser injetiva.
(d) Se m = n, T pode ser bijetiva.
15. Quantas colunas linearmente independentes tem a
matriz
A =

1 2 3 4 5 6 7 8 9
2 3 4 5 6 7 8 9 10
3 5 7 9 11 13 15 17 19
5 8 11 14 17 20 23 26 29

(a) 2
(b) 3
(c) 4
(d) 5
16. Assinale a afirmativa Verdadeira:
(a) Todo subconjunto de um conjunto linear-
mente independente é linearmente inde-
pendente.
(b) Todo subconjunto de um conjunto linearmente
dependente é linearmente dependente.
(c) A interseção de dois conjuntos linearmente inde-
pendentes pode ser linearmente dependente.
(d) A união de dois conjuntos linearmente indepen-
dentes é linearmente independente.
Gabarito Pág. 2
Gabarito dos 447 Testes Gerados
Teste 001: 1D 2C 3C 4A 5B 6A 7C 8D 9D 10D 11B 12A 13B 14C 15B 16C
Teste 002: 1B 2A 3C 4C 5A 6A 7A 8D 9C 10C 11C 12C 13D 14A 15D 16D
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Teste 004: 1D 2C 3D 4B 5C 6C 7D 8D 9A 10B 11C 12A 13B 14D 15A 16D
Teste 005: 1C 2B 3A 4C 5C 6A 7B 8A 9A 10D 11C 12C 13A 14D 15C 16D
Teste 006: 1B 2C 3C 4D 5D 6D 7A 8D 9C 10A 11B 12D 13C 14C 15C 16B
Teste 007: 1D 2C 3C 4C 5D 6C 7C 8C 9D 10B 11B 12A 13B 14D 15D 16A
Teste 008: 1B 2B 3D 4A 5B 6D 7B 8C 9C 10C 11B 12C 13B 14C 15D 16C
Teste 009: 1B 2B 3B 4D 5B 6A 7B 8D 9C 10C 11A 12D 13C 14D 15B 16D
Teste 010: 1C 2B 3B 4C 5C 6D 7B 8C 9B 10C 11B 12C 13B 14D 15A 16A
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Teste 055: 1D 2B 3C 4B 5A 6A 7B 8B 9A 10C 11C 12C 13A 14B 15D 16D
Teste 056: 1A 2A 3B 4D 5B 6D 7A 8A 9C 10B 11B 12C 13A 14A 15B 16C
Gabarito Pág. 1
Teste 057: 1B 2B 3B 4B 5B 6B 7C 8D 9A 10A 11A 12C 13A 14A 15A 16C
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Teste 064: 1A 2D 3D 4C 5D 6B 7C 8B 9D 10D 11B 12D 13B 14B 15B 16C
Teste 065: 1D 2C 3D 4B 5A 6A 7D 8A 9D 10A 11C 12D 13A 14A 15B 16C
Teste 066: 1A 2B 3A 4C 5D 6B 7A 8D 9C 10A 11B 12B 13D 14C 15C 16A
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Teste 096: 1C 2D 3C 4D 5D 6C 7B 8B 9B 10C 11C 12D 13C 14B 15A 16A
Teste 097: 1B 2A 3B 4C 5A 6C 7B 8A 9C 10B 11A 12B 13B 14C 15D 16C
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Gabarito Pág. 2
Teste 116: 1D 2C 3D 4B 5B 6C 7D 8A 9B 10D 11A 12C 13B 14B 15D 16C
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Teste 147: 1A 2B 3C 4B 5D 6C 7B 8A 9A 10A 11C 12B 13C 14A 15C 16B
Teste 148: 1C 2D 3D 4C 5D 6B 7A 8B 9B 10B 11C 12D 13D 14D 15A 16C
Teste 149: 1C 2D 3C 4A 5C 6A 7C 8C 9B 10A 11B 12A 13D 14A 15A 16C
Teste 150: 1D 2B 3D 4B 5C 6A 7B 8C 9B 10B 11B 12D 13D 14C 15C 16C
Teste 151: 1C 2B 3C 4C 5A 6D 7B 8A 9A 10B 11C 12A 13D 14C 15C 16B
Teste 152: 1C 2D 3A 4C 5D 6A 7D 8B 9D 10A 11A 12D 13C 14B 15C 16B
Teste 153: 1B 2C 3B 4C 5B 6A 7B 8C 9A 10A 11D 12B 13A 14A 15C 16D
Teste 154: 1C 2B 3A 4C 5D 6A 7D 8B 9C 10D 11D 12C 13C 14C 15A 16B
Teste 155: 1C 2B 3B 4A 5B 6A 7D 8C 9B 10A 11C 12D 13A 14B 15C 16A
Teste 156: 1D 2A 3B 4D 5C 6D 7B 8C 9A 10A 11B 12C 13B 14A 15A 16D
Teste 157: 1B 2D 3C 4C 5B 6B 7C 8B 9C 10B 11A 12D 13B 14D 15D 16C
Teste 158: 1D 2B 3A 4D 5B 6D 7A 8A 9B 10A 11C 12B 13A 14B 15A 16C
Teste 159: 1D 2B 3B 4C 5B 6D 7C 8A 9B 10A 11B 12B 13D 14D 15D 16C
Teste 160: 1C 2B 3A 4C 5B 6A 7D 8D 9C 10C 11D 12D 13D 14B 15C 16B
Teste 161: 1B 2B 3A 4D 5D 6C 7C 8C 9D 10A 11B 12A 13D 14B 15A 16B
Teste 162: 1B 2B 3B 4B 5D 6C 7C 8A 9D 10C 11B 12D 13B 14A 15D 16C
Teste 163: 1C 2B 3D 4C 5B 6C 7D 8A 9B 10C 11B 12B 13B 14D 15D 16C
Teste 164: 1A 2B 3C 4C 5B 6B 7D 8B 9D 10D 11C 12C 13D 14A 15D 16C
Teste 165: 1C 2B 3C 4C 5A 6D 7D 8B 9B 10B 11C 12C 13C 14B 15D 16D
Teste 166: 1B 2C 3D 4B 5B 6C 7C 8A 9A 10D 11D 12A 13C 14C 15C 16A
Teste 167: 1C 2A 3A 4A 5D 6A 7C 8D 9A 10B 11B 12B 13D 14D 15C 16D
Teste 168: 1A 2C 3D 4A 5A 6D 7A 8C 9D 10D 11A 12A 13B 14D 15B 16D
Teste 169: 1B 2C 3D 4A 5A 6D 7C 8C 9B 10B 11B 12C 13A 14D 15C 16A
Teste 170: 1C 2D 3A 4C 5B 6C 7A 8B 9D 10A 11C 12D 13D 14D 15A 16D
Teste 171: 1D 2D 3B 4A 5B 6A 7B 8D 9A 10C 11B 12B 13C 14C 15B 16A
Teste 172: 1D 2C 3A 4B 5B 6D 7A 8B 9B 10B 11A 12D 13D 14B 15D 16C
Teste173: 1D 2A 3C 4A 5C 6C 7D 8B 9A 10B 11A 12D 13D 14D 15D 16C
Teste 174: 1D 2C 3A 4A 5B 6B 7C 8A 9D 10A 11A 12C 13C 14A 15C 16B
Gabarito Pág. 3
Teste 175: 1D 2B 3D 4C 5D 6C 7A 8D 9A 10B 11A 12D 13A 14A 15B 16B
Teste 176: 1D 2A 3C 4D 5C 6D 7D 8D 9D 10C 11C 12C 13B 14B 15C 16B
Teste 177: 1D 2D 3C 4D 5D 6D 7B 8C 9D 10B 11C 12A 13C 14A 15A 16B
Teste 178: 1D 2A 3A 4C 5B 6A 7C 8B 9D 10D 11D 12C 13A 14D 15D 16A
Teste 179: 1C 2A 3B 4A 5D 6A 7C 8A 9D 10A 11D 12B 13D 14B 15A 16D
Teste 180: 1B 2C 3C 4C 5C 6D 7A 8D 9A 10C 11B 12C 13A 14A 15A 16B
Teste 181: 1C 2C 3C 4B 5D 6B 7D 8A 9D 10D 11A 12A 13B 14D 15A 16D
Teste 182: 1D 2B 3D 4A 5D 6D 7B 8B 9B 10D 11D 12B 13A 14C 15A 16B
Teste 183: 1B 2C 3D 4C 5C 6B 7A 8D 9D 10C 11C 12A 13C 14D 15D 16D
Teste 184: 1C 2C 3D 4C 5B 6B 7A 8B 9D 10A 11A 12C 13C 14B 15B 16C
Teste 185: 1D 2D 3A 4A 5A 6D 7A 8A 9C 10B 11C 12D 13C 14D 15B 16B
Teste 186: 1A 2A 3B 4C 5B 6C 7A 8B 9C 10A 11C 12B 13B 14A 15B 16A
Teste 187: 1B 2D 3B 4B 5A 6A 7D 8C 9B 10C 11C 12B 13A 14C 15D 16B
Teste 188: 1A 2A 3B 4C 5C 6D 7C 8B 9B 10D 11C 12D 13B 14B 15D 16C
Teste 189: 1D 2C 3D 4B 5B 6A 7A 8C 9C 10D 11D 12A 13C 14B 15D 16C
Teste 190: 1C 2A 3C 4B 5A 6A 7B 8A 9D 10D 11A 12B 13A 14C 15B 16B
Teste 191: 1A 2A 3D 4B 5D 6B 7D 8C 9C 10A 11D 12C 13B 14A 15D 16B
Teste 192: 1C 2C 3B 4A 5A 6B 7B 8C 9B 10C 11B 12B 13D 14A 15C 16C
Teste 193: 1D 2A 3C 4A 5C 6C 7A 8D 9D 10C 11D 12D 13D 14B 15C 16B
Teste 194: 1B 2B 3A 4D 5A 6C 7D 8C 9C 10A 11B 12D 13D 14C 15D 16C
Teste 195: 1A 2D 3A 4C 5D 6A 7C 8A 9C 10D 11A 12D 13B 14A 15B 16D
Teste 196: 1D 2A 3B 4D 5A 6A 7C 8B 9D 10B 11D 12A 13B 14A 15C 16C
Teste 197: 1D 2C 3A 4D 5B 6B 7D 8C 9B 10C 11D 12D 13B 14B 15A 16A
Teste 198: 1A 2B 3C 4B 5C 6C 7C 8D 9B 10C 11D 12B 13A 14D 15B 16B
Teste 199: 1B 2D 3B 4C 5B 6B 7B 8C 9C 10D 11D 12B 13A 14B 15D 16A
Teste 200: 1B 2C 3B 4A 5D 6A 7D 8C 9B 10B 11C 12B 13B 14D 15C 16D
Teste 201: 1D 2B 3B 4C 5A 6B 7D 8D 9C 10C 11A 12B 13C 14B 15D 16A
Teste 202: 1D 2C 3D 4A 5D 6D 7D 8D 9A 10B 11B 12C 13B 14B 15A 16A
Teste 203: 1C 2A 3D 4C 5D 6D 7A 8B 9D 10B 11D 12C 13A 14B 15D 16C
Teste 204: 1A 2A 3C 4D 5C 6C 7B 8A 9C 10C 11A 12D 13C 14B 15A 16A
Teste 205: 1A 2C 3C 4A 5D 6B 7B 8C 9B 10C 11D 12A 13C 14D 15A 16A
Teste 206: 1C 2D 3C 4B 5B 6D 7A 8C 9D 10C 11D 12A 13C 14C 15D 16D
Teste 207: 1A 2A 3C 4D 5B 6B 7B 8D 9D 10A 11C 12A 13D 14B 15D 16C
Teste 208: 1C 2C 3D 4B 5D 6B 7B 8C 9B 10B 11B 12A 13A 14D 15D 16D
Teste 209: 1C 2D 3B 4A 5A 6A 7D 8D 9C 10A 11B 12B 13D 14A 15C 16D
Teste 210: 1C 2A 3D 4A 5C 6D 7B 8B 9D 10B 11A 12C 13C 14B 15A 16D
Teste 211: 1D 2C 3B 4B 5D 6C 7A 8A 9D 10B 11C 12D 13C 14B 15A 16D
Teste 212: 1B 2C 3C 4D 5B 6C 7C 8B 9B 10D 11B 12D 13D 14D 15D 16B
Teste 213: 1D 2D 3D 4D 5D 6A 7A 8D 9B 10C 11B 12A 13C 14C 15B 16C
Teste 214: 1D 2A 3A 4D 5D 6B 7D 8C 9B 10C 11A 12B 13C 14C 15C 16C
Teste 215: 1C 2C 3C 4B 5B 6B 7D 8B 9A 10B 11C 12A 13A 14D 15C 16D
Teste 216: 1A 2B 3C 4A 5C 6D 7A 8D 9B 10C 11D 12C 13B 14A 15B 16A
Teste 217: 1D 2D 3B 4A 5A 6B 7C 8C 9C 10A 11B 12C 13C 14D 15B 16B
Teste 218: 1A 2B 3A 4C 5B 6D 7D 8A 9B 10C 11C 12C 13D 14A 15C 16B
Teste 219: 1A 2A 3C 4D 5C 6B 7D 8A 9A 10D 11B 12A 13A 14B 15C 16B
Teste 220: 1A 2B 3A 4C 5C 6A 7A 8D 9A 10A 11B 12C 13C 14C 15D 16B
Teste 221: 1C 2A 3D 4C 5D 6D 7A 8C 9B 10D 11A 12C 13C 14B 15D 16C
Teste 222: 1D 2A 3B 4B 5D 6A 7D 8C 9C 10A 11B 12B 13D 14B 15A 16A
Teste 223: 1C 2B 3C 4D 5B 6C 7A 8C 9D 10D 11C 12A 13A 14D 15A 16B
Teste 224: 1A 2D 3A 4D 5D 6D 7A 8C 9D 10A 11C 12A 13D 14B 15C 16A
Teste 225: 1B 2C 3B 4B 5B 6C 7D 8C 9A 10C 11A 12D 13D 14C 15C 16A
Teste 226: 1A 2B 3D 4B 5D 6A 7B 8A 9C 10D 11B 12B 13C 14B 15C 16D
Teste 227: 1C 2D 3A 4A 5A 6C 7C 8C 9A 10C 11D 12C 13D 14A 15D 16D
Teste 228: 1A 2A 3C 4A 5B 6A 7D 8B 9D 10D 11C 12A 13D 14A 15C 16C
Teste 229: 1A 2B 3B 4A 5B 6D 7A 8D 9A 10C 11A 12C 13D 14D 15B 16B
Teste 230: 1A 2B 3B 4C 5C 6D 7A 8A 9D 10D 11D 12A 13A 14A 15C 16D
Teste 231: 1A 2B 3B 4B 5C 6B 7D 8C 9A 10A 11C 12A 13A 14D 15C 16C
Teste 232: 1D 2D 3A 4A 5C 6D 7C 8C 9C 10C 11B 12D 13D 14C 15D 16A
Teste 233: 1D 2D 3A 4A 5C 6C 7A 8D 9D 10B 11A 12C 13B 14C 15B 16B
Gabarito Pág. 4
Teste 234: 1A 2C 3B 4D 5B 6A 7B 8C 9A 10D 11D 12B 13C 14C 15D 16D
Teste 235: 1D 2B 3D 4C 5D 6A 7D 8C 9C 10B 11D 12A 13C 14B 15A 16B
Teste 236: 1A 2A 3B 4A 5D 6A 7D 8B 9D 10A 11B 12C 13B 14D 15B 16D
Teste 237: 1B 2D 3C 4D 5B 6B 7D 8B 9D 10D 11C 12C 13C 14C 15D 16A
Teste 238: 1B 2D 3D 4C 5A 6A 7C 8B 9C 10C 11D 12D 13A 14B 15B 16D
Teste 239: 1A 2B 3D 4D 5C 6D 7D 8C 9D 10B 11A 12D 13A 14A 15C 16B
Teste 240: 1D 2A 3A 4D 5C 6B 7D 8D 9C 10B 11C 12B 13D 14B 15A 16D
Teste 241: 1A 2A 3C 4C 5D 6D 7B 8B 9A 10D 11B 12C 13B 14B 15A 16D
Teste 242: 1D 2C 3A 4B 5A 6B 7B 8B 9B 10A 11C 12C 13D 14A 15C 16B
Teste 243: 1C 2C 3C 4C 5A 6B 7B 8D 9C 10C 11D 12B 13A 14A 15D 16A
Teste 244: 1D 2A 3B 4B 5B 6C 7D 8B 9B 10D 11A 12C 13C 14D 15A 16C
Teste 245: 1C 2C 3D 4A 5A 6A 7D 8A 9A 10D 11D 12B 13A 14C 15B 16D
Teste 246: 1D 2D 3B 4D 5A 6B 7C 8D 9C 10C 11C 12D 13A 14B 15B 16D
Teste 247: 1C 2C 3B 4B 5A 6B 7A 8C 9A 10B 11A 12D 13B 14B 15A 16D
Teste 248: 1C 2D 3B 4C 5A 6B 7A 8D 9B 10C 11A 12C 13C 14A 15C 16B
Teste 249: 1C 2D 3A 4A 5A 6A 7A 8D 9B 10A 11D 12C 13D 14D 15C 16D
Teste 250: 1C 2C 3B 4A 5D 6C 7D 8D 9B 10D 11B 12B 13D 14C 15D 16B
Teste 251: 1B 2D 3D 4B 5B 6C 7D 8A 9A 10D 11C 12B 13B 14D 15A 16C
Teste 252: 1B 2C 3A 4B 5D 6D 7D 8D 9A 10A 11D 12A 13C 14C 15B 16A
Teste 253: 1C 2C 3C 4B 5A 6A 7D 8C 9A 10B 11A 12D 13D 14D 15C 16D
Teste 254: 1B 2B 3C 4D 5C 6B 7D 8D 9A 10A 11A 12A 13C 14C 15C 16C
Teste 255: 1D 2A 3A 4D 5C 6D 7B 8D 9C 10C 11C 12D 13C 14C 15A 16B
Teste 256: 1D 2B 3D 4A 5A 6B 7D 8D 9D 10B 11A 12D 13B 14C 15C 16B
Teste 257: 1C 2D 3B 4C 5D 6B 7A 8D 9A 10B 11B 12C 13A 14A 15B 16C
Teste 258: 1B 2C 3D 4C 5B 6D 7B 8B 9C 10B 11D 12B 13D 14A 15C 16A
Teste 259: 1C 2B 3D 4C 5C 6D 7A 8C 9A 10D 11A 12D 13D 14C 15D 16B
Teste 260: 1D 2B 3A 4C 5C 6D 7C 8D 9B 10D 11D 12C 13C 14C 15D 16A
Teste 261: 1D 2B 3C 4A 5C 6D 7C 8B 9D 10A 11A 12D 13D 14A 15A 16A
Teste 262: 1B 2B 3D 4A 5B 6D 7D 8A 9C 10A 11B 12A 13C 14C 15C 16D
Teste 263: 1B 2B 3C 4D 5A 6B 7C 8A 9A 10B 11B 12A 13A 14A 15D 16C
Teste 264: 1B 2B 3A 4D 5B 6C 7C 8C 9C 10A 11A 12C 13C 14D 15D 16A
Teste 265: 1D 2D 3B 4A 5D 6B 7C 8B 9D 10D 11B 12B 13D 14A 15C 16B
Teste 266: 1C 2A 3B 4A 5D 6D 7D 8B 9C 10D 11D 12C 13B 14D 15B 16B
Teste 267: 1C 2C 3D 4C 5B 6D 7B 8A 9D 10A 11D 12C 13C 14A 15B 16A
Teste 268: 1C 2B 3D 4A 5D 6A 7D 8D 9B 10A 11B 12C 13C 14D 15A 16C
Teste 269: 1A 2B 3D 4D 5D 6C 7A 8B 9D 10D 11C 12D 13B 14C 15A 16B
Teste 270: 1C 2C 3A 4B 5A 6C 7C 8D 9C 10C 11D 12D 13D 14B 15D 16B
Teste 271: 1C 2A 3D 4D 5A 6A 7D 8B 9C 10D 11B 12A 13C 14D 15D 16B
Teste 272: 1C 2D 3A 4B 5C 6B 7B 8B 9D 10D 11D 12A 13D 14A 15D 16C
Teste 273: 1A 2D 3A 4B 5C 6A 7C 8B 9B 10C 11A 12B 13D 14B 15C 16D
Teste 274: 1C 2B 3C 4D 5A 6D 7C 8C 9D 10D 11B 12B 13C 14A 15B 16B
Teste 275: 1B 2C 3B 4B 5B 6D 7C 8B 9C 10C 11B 12D 13D 14D 15C 16A
Teste 276: 1B 2D 3A 4B 5B 6C 7D 8B 9B 10D 11D 12B 13D 14C 15A 16A
Teste 277: 1A 2C 3A 4D 5B 6C 7B 8B 9A 10B 11C 12C 13C 14A 15A 16C
Teste 278: 1C 2A 3C 4D 5D 6B 7D 8A 9B 10B 11C 12D 13B 14C 15B 16C
Teste 279: 1A 2A 3C 4C 5D 6B 7B 8B 9A 10D 11C 12A 13C 14B 15D 16B
Teste 280: 1B 2D 3A 4A 5D 6D 7D 8D 9D 10B 11B 12B 13B 14A 15B 16A
Teste 281: 1D 2D 3B 4A 5A 6A 7B 8B 9D 10C 11A 12D 13A 14B 15D 16D
Teste 282: 1D 2D 3A 4D 5A 6D 7B 8A 9C 10C 11C 12A 13B 14A 15A 16C
Teste 283: 1D 2A 3D 4B 5B 6C 7A 8A 9C 10C 11C 12D 13D 14A 15C 16A
Teste 284: 1B 2D 3B 4A 5D 6B 7C 8B 9A 10C 11A 12B 13A 14A 15A 16C
Teste 285: 1B 2D 3D 4C 5D 6C 7B 8B 9A 10C 11C 12B 13B 14B 15C 16A
Teste 286: 1D 2B 3D 4D 5D 6D 7C 8C 9B 10B 11C 12A 13A 14B 15C 16C
Teste 287: 1B 2B 3C 4C 5B 6D 7A 8C 9C 10B 11B 12D 13B 14A 15A 16C
Teste 288: 1C 2B 3A 4D 5B 6A 7D 8D 9C 10C 11C 12A 13A 14C 15A 16A
Teste 289: 1C 2B 3A 4A 5C 6B 7A 8D 9D 10C 11D 12C 13D 14C 15A 16C
Teste 290: 1C 2A 3C 4B 5C 6C 7D 8C 9B 10B 11A 12D 13C 14A 15B 16D
Teste 291: 1B 2D 3A 4C 5C 6A 7D 8B 9C 10D 11B 12A 13B 14D 15D 16C
Teste 292: 1B 2B 3D 4D 5B 6C 7A8B 9A 10B 11C 12C 13B 14D 15C 16A
Gabarito Pág. 5
Teste 293: 1A 2A 3A 4B 5A 6A 7B 8D 9C 10A 11D 12D 13B 14C 15B 16D
Teste 294: 1C 2D 3A 4B 5B 6D 7D 8A 9A 10D 11A 12A 13D 14B 15B 16A
Teste 295: 1C 2C 3D 4A 5D 6A 7A 8A 9D 10C 11A 12B 13B 14B 15D 16A
Teste 296: 1D 2D 3B 4C 5A 6A 7A 8C 9D 10D 11A 12A 13D 14A 15C 16C
Teste 297: 1D 2A 3D 4A 5C 6B 7B 8B 9C 10C 11C 12D 13D 14B 15D 16D
Teste 298: 1B 2C 3A 4D 5A 6D 7A 8C 9B 10A 11C 12A 13B 14B 15D 16B
Teste 299: 1A 2D 3C 4B 5B 6A 7C 8D 9D 10D 11D 12B 13D 14C 15C 16B
Teste 300: 1D 2D 3A 4D 5C 6B 7A 8D 9B 10A 11C 12D 13A 14C 15C 16D
Teste 301: 1A 2B 3D 4D 5B 6A 7D 8B 9D 10B 11B 12D 13C 14D 15B 16C
Teste 302: 1B 2D 3B 4B 5D 6D 7A 8D 9C 10A 11D 12A 13C 14D 15B 16C
Teste 303: 1C 2C 3A 4A 5D 6C 7C 8A 9B 10C 11C 12D 13B 14B 15A 16B
Teste 304: 1D 2A 3A 4B 5A 6D 7A 8D 9B 10A 11C 12C 13C 14C 15C 16B
Teste 305: 1C 2B 3D 4D 5C 6D 7B 8D 9D 10A 11D 12B 13C 14B 15B 16A
Teste 306: 1D 2B 3B 4C 5D 6B 7B 8A 9B 10A 11C 12A 13D 14B 15C 16D
Teste 307: 1C 2D 3B 4D 5C 6D 7C 8A 9B 10A 11C 12B 13A 14D 15D 16A
Teste 308: 1D 2A 3C 4D 5C 6C 7D 8B 9C 10C 11A 12A 13D 14D 15B 16D
Teste 309: 1D 2A 3D 4D 5D 6A 7C 8D 9B 10B 11C 12D 13B 14C 15A 16C
Teste 310: 1C 2B 3C 4A 5C 6A 7A 8A 9B 10C 11C 12D 13A 14A 15B 16B
Teste 311: 1B 2D 3B 4C 5C 6B 7C 8C 9A 10C 11A 12C 13A 14B 15D 16A
Teste 312: 1D 2B 3A 4B 5A 6A 7D 8C 9A 10D 11D 12C 13B 14A 15A 16D
Teste 313: 1A 2A 3C 4D 5B 6D 7A 8A 9D 10A 11C 12C 13C 14C 15C 16A
Teste 314: 1C 2B 3C 4C 5D 6B 7B 8D 9D 10A 11C 12B 13C 14A 15C 16A
Teste 315: 1A 2B 3A 4A 5C 6D 7A 8C 9A 10D 11C 12B 13B 14B 15B 16D
Teste 316: 1C 2C 3D 4B 5D 6A 7C 8C 9C 10A 11A 12A 13C 14A 15A 16B
Teste 317: 1C 2B 3A 4A 5B 6A 7B 8D 9D 10B 11D 12B 13A 14B 15C 16C
Teste 318: 1B 2A 3A 4C 5C 6A 7A 8D 9C 10C 11B 12C 13D 14A 15C 16B
Teste 319: 1B 2C 3C 4B 5D 6D 7C 8D 9C 10C 11A 12C 13D 14A 15D 16D
Teste 320: 1A 2C 3B 4C 5D 6C 7C 8A 9C 10A 11B 12D 13C 14D 15A 16D
Teste 321: 1D 2B 3C 4C 5A 6A 7A 8A 9C 10B 11B 12A 13B 14B 15C 16D
Teste 322: 1A 2A 3A 4C 5C 6A 7B 8B 9C 10C 11D 12D 13C 14D 15B 16A
Teste 323: 1B 2B 3C 4C 5A 6A 7D 8D 9C 10B 11B 12D 13D 14B 15A 16C
Teste 324: 1B 2B 3B 4B 5B 6A 7D 8B 9C 10A 11D 12C 13A 14C 15C 16A
Teste 325: 1C 2C 3C 4D 5D 6D 7D 8B 9A 10D 11B 12D 13C 14A 15A 16B
Teste 326: 1C 2C 3C 4C 5B 6A 7A 8A 9C 10C 11B 12A 13A 14B 15B 16B
Teste 327: 1B 2A 3C 4B 5B 6A 7C 8A 9A 10B 11D 12B 13B 14C 15D 16A
Teste 328: 1D 2B 3D 4C 5D 6C 7A 8C 9D 10A 11D 12C 13B 14A 15B 16A
Teste 329: 1B 2D 3D 4B 5A 6A 7A 8C 9C 10C 11D 12D 13C 14B 15C 16D
Teste 330: 1A 2D 3C 4C 5C 6D 7B 8B 9D 10D 11C 12B 13C 14A 15A 16A
Teste 331: 1A 2D 3D 4D 5B 6C 7D 8B 9A 10B 11B 12C 13C 14C 15C 16D
Teste 332: 1A 2D 3A 4C 5A 6C 7C 8A 9C 10A 11C 12D 13B 14C 15A 16D
Teste 333: 1C 2C 3D 4C 5C 6B 7C 8A 9D 10B 11A 12A 13D 14D 15D 16B
Teste 334: 1A 2B 3B 4A 5D 6C 7C 8D 9C 10B 11D 12D 13C 14D 15A 16A
Teste 335: 1C 2D 3C 4B 5A 6B 7B 8A 9D 10C 11B 12B 13B 14C 15D 16A
Teste 336: 1B 2D 3A 4D 5D 6D 7B 8B 9B 10D 11B 12A 13C 14B 15C 16C
Teste 337: 1C 2A 3D 4B 5A 6B 7C 8A 9D 10A 11A 12C 13D 14A 15B 16C
Teste 338: 1A 2C 3A 4B 5D 6B 7A 8B 9B 10D 11A 12C 13C 14D 15C 16D
Teste 339: 1D 2D 3A 4A 5A 6D 7B 8A 9A 10A 11D 12B 13B 14D 15B 16A
Teste 340: 1C 2B 3A 4A 5B 6A 7A 8A 9B 10A 11B 12B 13C 14C 15B 16C
Teste 341: 1A 2C 3D 4A 5A 6A 7B 8D 9B 10D 11A 12D 13D 14D 15C 16B
Teste 342: 1A 2B 3A 4B 5A 6B 7B 8B 9B 10D 11A 12A 13C 14D 15D 16A
Teste 343: 1C 2B 3D 4C 5A 6A 7A 8D 9C 10B 11D 12C 13B 14A 15C 16A
Teste 344: 1C 2C 3C 4D 5D 6D 7C 8A 9A 10D 11D 12C 13A 14B 15D 16B
Teste 345: 1B 2A 3C 4C 5B 6D 7B 8D 9C 10A 11C 12B 13D 14D 15A 16A
Teste 346: 1A 2B 3C 4C 5D 6C 7D 8A 9B 10B 11A 12B 13B 14A 15B 16C
Teste 347: 1C 2C 3A 4D 5D 6D 7C 8C 9A 10B 11A 12C 13A 14D 15C 16D
Teste 348: 1C 2B 3A 4C 5D 6A 7B 8B 9C 10B 11A 12B 13A 14D 15C 16D
Teste 349: 1B 2D 3D 4A 5A 6D 7C 8C 9B 10D 11B 12C 13A 14D 15B 16A
Teste 350: 1B 2D 3B 4C 5D 6B 7A 8B 9B 10A 11B 12A 13A 14A 15D 16C
Teste 351: 1C 2D 3B 4D 5C 6D 7C 8B 9D 10B 11C 12A 13D 14B 15A 16D
Gabarito Pág. 6
Teste 352: 1A 2C 3C 4A 5D 6A 7A 8B 9C 10C 11A 12B 13A 14C 15D 16C
Teste 353: 1D 2B 3D 4A 5D 6D 7B 8B 9B 10D 11D 12A 13A 14A 15B 16A
Teste 354: 1A 2B 3A 4D 5D 6A 7B 8B 9B 10C 11D 12B 13D 14D 15B 16A
Teste 355: 1B 2D 3B 4B 5D 6A 7C 8B 9C 10B 11A 12D 13A 14A 15D 16C
Teste 356: 1A 2C 3D 4C 5D 6D 7A 8B 9D 10A 11A 12A 13C 14B 15B 16D
Teste 357: 1B 2A 3C 4B 5B 6A 7A 8C 9B 10D 11D 12D 13D 14C 15C 16C
Teste 358: 1B 2B 3D 4B 5B 6B 7C 8A 9D 10C 11A 12D 13B 14C 15A 16C
Teste 359: 1D 2B 3D 4A 5B 6D 7C 8C 9B 10B 11A 12C 13C 14C 15A 16D
Teste 360: 1D 2C 3C 4B 5A 6B 7B 8A 9D 10D 11B 12A 13D 14C 15C 16C
Teste 361: 1B 2A 3A 4C 5B 6C 7D 8C 9A 10D 11B 12C 13D 14D 15D 16B
Teste 362: 1A 2A 3B 4A 5A 6A 7C 8C 9D 10D 11D 12C 13A 14D 15C 16D
Teste 363: 1B 2C 3D 4A 5A 6A 7C 8A 9B 10D 11B 12B 13D 14D 15B 16B
Teste 364: 1A 2A 3B 4D 5B 6D 7D 8B 9C 10B 11A 12D 13C 14D 15C 16C
Teste 365: 1A 2C 3C 4D 5D 6D 7B 8C 9A 10D 11B 12A 13D 14A 15A 16D
Teste 366: 1A 2A 3C 4D 5A 6A 7B 8C 9D 10C 11D 12C 13D 14A 15A 16D
Teste 367: 1D 2D 3D 4A 5B 6C 7A 8A 9D 10A 11A 12B 13C 14B 15D 16C
Teste 368: 1D 2C 3B 4D 5B 6D 7B 8C 9B 10D 11A 12B 13B 14C 15A 16D
Teste 369: 1D 2B 3A 4C 5D 6B 7B 8C 9D 10D 11B 12D 13B 14A 15A 16C
Teste 370: 1B 2D 3A 4C 5D 6C 7C 8C 9B 10A 11D 12D 13B 14D 15D 16C
Teste 371: 1A 2B 3C 4D 5D 6C 7C 8A 9C 10B 11B 12D 13A 14C 15B 16A
Teste 372: 1C 2C 3C 4A 5A 6B 7C 8D 9C 10A 11B 12A 13C 14A 15D 16B
Teste 373: 1D 2D 3B 4B 5A 6A 7A 8C 9C 10B 11B 12A 13A 14C 15A 16C
Teste 374: 1C 2A 3A 4A 5B 6D 7D 8A 9B 10D 11D 12C 13A 14C 15C 16C
Teste 375: 1A 2C 3C 4C 5B 6A 7D 8B 9B 10B 11C 12A 13D 14D 15A 16C
Teste 376: 1C 2A 3A 4D 5A 6A 7C 8C 9B 10D 11B 12A 13D 14C 15B 16B
Teste 377: 1A 2D 3A 4A 5B 6A 7D 8D 9C 10A 11D 12B 13B 14D 15C 16B
Teste 378: 1B 2B 3C 4D 5C 6D 7C 8A 9C 10C 11A 12C 13A 14D 15B 16A
Teste 379: 1A 2A 3B 4D 5B 6D 7D 8A 9A 10D 11D 12B 13C 14D 15B 16A
Teste 380: 1A 2B 3C 4D 5A 6D 7B 8A 9D 10C 11A 12A 13D 14C 15C 16A
Teste 381: 1B 2B 3D 4A 5A 6A 7C 8B 9D 10C 11D 12C 13D 14B 15C 16A
Teste 382: 1B 2B 3B 4B 5A 6C 7A 8D 9D 10A 11B 12C 13B 14D 15D 16C
Teste 383: 1B 2B 3A 4D 5C 6C 7D 8B 9C 10D 11A 12C 13A 14C 15B 16A
Teste 384: 1B 2C 3C 4A 5C 6D 7A 8D 9A 10D 11C 12C 13A 14A 15A 16D
Teste 385: 1B 2A 3A 4D 5D 6B 7C 8C 9B 10B 11C 12C 13C 14C 15A 16D
Teste 386: 1C 2B 3B 4B 5B 6A 7D 8A 9B 10A 11C 12D 13B 14C 15D 16D
Teste 387: 1C 2C 3B 4D 5C 6D 7B 8D 9D 10D 11D 12A 13B 14B 15B 16A
Teste 388: 1B 2C 3C 4C 5A 6C 7A 8D 9C 10B 11C 12D 13A 14D 15A 16A
Teste 389: 1D 2C 3C 4C 5D 6C 7A 8A 9A 10B 11C 12B 13B 14B 15C 16B
Teste 390: 1C 2A 3D 4A 5D 6A 7B 8B 9C 10A 11C 12A 13B 14B 15A 16C
Teste 391: 1D 2C 3B 4B 5B 6C 7B 8C 9B 10B 11D 12A 13C 14A 15D 16C
Teste 392: 1D 2A 3C 4D 5B 6C 7A 8B 9B 10C 11D 12D 13C 14A 15D 16D
Teste 393: 1A 2D 3D 4A 5A 6D 7A 8D 9D 10D 11C 12B 13A 14C 15A 16D
Teste 394: 1A 2B 3A 4A 5D 6A 7A 8C 9D 10D 11B 12A 13D 14D 15B 16D
Teste 395: 1A 2C 3A 4C 5C 6D 7D 8A 9C 10D 11A 12B 13B 14D 15A 16B
Teste 396: 1B 2C 3C 4A 5D 6D 7C 8C 9A 10D 11A 12B 13D 14C 15D 16A
Teste 397: 1A 2B 3C 4D 5A 6D 7B 8A 9A 10C 11B 12B 13B 14B 15A 16D
Teste 398: 1D 2B 3B 4B 5C 6B 7B 8A 9A 10B 11A 12A 13C 14D 15C 16A
Teste 399: 1D 2D 3D 4A 5C 6A 7D 8A 9C 10B 11D 12D 13C 14A 15B 16B
Teste 400: 1A 2A 3C 4A 5C 6A 7B 8A 9B 10A 11B 12C 13C 14C 15C 16C
Teste 401: 1C 2C 3C 4C 5C 6B 7B 8A 9B 10A 11D 12C 13D 14A 15A 16B
Teste 402: 1A 2B 3C 4A 5D 6B 7D 8B 9C 10C 11D 12A 13B 14D 15D 16A
Teste 403: 1A 2D 3A 4D 5B 6C 7B 8D 9B 10A 11D 12C 13D 14D 15A 16C
Teste 404: 1B 2A 3C 4C 5C 6B 7A 8A 9C 10B 11C 12B 13B 14C 15B 16A
Teste 405: 1D 2A 3C 4D 5A 6C 7A 8C 9A 10B 11D 12B 13C 14A 15D 16B
Teste 406: 1C 2B 3A 4C 5C 6D 7D 8C 9B 10D 11C 12D 13A 14C 15D 16A
Teste 407: 1C 2C 3D 4D 5D 6B 7C 8C 9A 10C 11A 12C 13A 14D 15B 16A
Teste 408: 1B 2D 3A 4C 5C 6B 7A 8D 9B 10C 11A 12B 13B 14A 15C 16B
Teste 409: 1D 2D 3A 4D 5A 6B 7C 8B 9B 10B 11C 12C 13A 14B 15A 16A
Teste 410: 1A 2C 3B 4B 5D 6D 7C 8C 9D 10C 11B 12D 13A 14D 15B 16D
Gabarito Pág. 7
Teste 411: 1C 2C 3A 4B 5C 6B 7B8A 9B 10A 11D 12D 13B 14D 15C 16D
Teste 412: 1A 2C 3A 4B 5B 6D 7C 8A 9D 10A 11A 12C 13A 14C 15D 16B
Teste 413: 1A 2B 3D 4A 5C 6D 7C 8A 9B 10B 11A 12C 13A 14B 15D 16D
Teste 414: 1A 2D 3D 4B 5B 6D 7B 8A 9B 10B 11B 12C 13C 14C 15C 16A
Teste 415: 1D 2B 3C 4D 5A 6C 7C 8B 9C 10C 11A 12C 13D 14A 15B 16A
Teste 416: 1B 2D 3C 4A 5C 6A 7B 8A 9B 10A 11B 12C 13C 14A 15A 16C
Teste 417: 1D 2D 3C 4D 5C 6A 7D 8B 9A 10B 11A 12C 13B 14B 15B 16A
Teste 418: 1C 2A 3C 4C 5D 6A 7A 8C 9C 10A 11D 12D 13A 14A 15B 16B
Teste 419: 1D 2A 3B 4C 5B 6A 7B 8D 9A 10A 11D 12D 13D 14C 15D 16A
Teste 420: 1D 2D 3A 4A 5D 6D 7D 8D 9A 10C 11C 12C 13C 14C 15A 16B
Teste 421: 1C 2B 3C 4B 5B 6D 7C 8D 9B 10C 11D 12D 13B 14A 15A 16A
Teste 422: 1C 2B 3B 4B 5B 6D 7B 8C 9D 10B 11D 12C 13D 14D 15C 16D
Teste 423: 1C 2C 3D 4C 5A 6B 7A 8D 9A 10D 11B 12A 13B 14C 15D 16B
Teste 424: 1D 2D 3B 4A 5B 6C 7D 8D 9D 10B 11D 12B 13A 14C 15A 16A
Teste 425: 1A 2A 3D 4C 5A 6D 7C 8C 9D 10B 11B 12A 13A 14C 15B 16A
Teste 426: 1D 2C 3C 4D 5C 6D 7B 8D 9D 10C 11C 12A 13B 14A 15D 16B
Teste 427: 1B 2B 3C 4D 5B 6B 7A 8C 9C 10D 11D 12C 13A 14A 15B 16C
Teste 428: 1A 2A 3A 4A 5A 6C 7D 8C 9D 10B 11B 12D 13B 14A 15D 16C
Teste 429: 1D 2B 3B 4A 5D 6B 7C 8A 9C 10B 11B 12A 13A 14C 15D 16D
Teste 430: 1A 2D 3A 4C 5B 6C 7D 8A 9D 10D 11C 12D 13D 14A 15B 16B
Teste 431: 1C 2C 3B 4C 5C 6A 7D 8A 9B 10B 11D 12C 13B 14D 15C 16A
Teste 432: 1B 2D 3D 4B 5A 6D 7C 8B 9B 10A 11A 12B 13C 14D 15B 16D
Teste 433: 1A 2C 3B 4B 5D 6C 7C 8C 9C 10B 11A 12B 13D 14A 15C 16B
Teste 434: 1C 2A 3A 4B 5B 6D 7D 8A 9A 10C 11A 12D 13D 14D 15D 16B
Teste 435: 1B 2C 3C 4B 5D 6C 7B 8D 9C 10C 11A 12B 13D 14A 15D 16C
Teste 436: 1B 2C 3D 4C 5C 6B 7C 8C 9C 10A 11B 12B 13A 14D 15B 16B
Teste 437: 1A 2D 3A 4A 5A 6A 7D 8A 9C 10B 11D 12C 13D 14D 15D 16C
Teste 438: 1C 2D 3A 4C 5B 6A 7C 8B 9D 10A 11D 12C 13D 14A 15D 16A
Teste 439: 1D 2A 3B 4A 5A 6D 7A 8D 9C 10C 11C 12C 13D 14D 15B 16B
Teste 440: 1A 2D 3C 4C 5D 6A 7A 8A 9D 10C 11B 12C 13D 14B 15C 16B
Teste 441: 1C 2D 3C 4C 5D 6D 7C 8A 9D 10B 11D 12A 13A 14A 15B 16D
Teste 442: 1B 2C 3D 4D 5A 6D 7C 8B 9B 10A 11D 12A 13B 14A 15A 16D
Teste 443: 1C 2A 3A 4A 5B 6B 7B 8B 9D 10C 11A 12A 13A 14B 15D 16D
Teste 444: 1A 2B 3C 4D 5B 6C 7C 8D 9C 10C 11A 12D 13D 14D 15C 16A
Teste 445: 1C 2C 3A 4D 5D 6B 7B 8C 9C 10D 11B 12A 13D 14C 15C 16B
Teste 446: 1A 2C 3B 4C 5D 6D 7A 8A 9C 10C 11C 12A 13D 14A 15C 16B
Teste 447: 1B 2B 3D 4A 5C 6D 7D 8D 9D 10D 11B 12A 13A 14A 15C 16B
Gabarito Pág. 8